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January 28, 2015

January 28, 2015

**Recent Homework Questions About Calculus**

Post a New Question | Current Questions

**calculus**

Suppose that the number of bacteria in a plate of food is given by N(T)= 10T^2 - 40T + 200, -1<=T<=20 where T is the temperature of the food in degrees Celsius. Suppose that the temperature of the food when it is left out on a picnic table is given by T(t)= 4t + 10, 0<...
*Tuesday, September 23, 2014 at 5:48pm*

**Calculus**

A spacecraft is in an elliptical orbit around the earth. At the time t=0 hours, it is at its apogee (highest point), d=1000 km above the earth's surface. It is at its perigee (lowest point) d=100 km above the surface 50 minutes later. a. Assuming that d varies sinusoidally...
*Tuesday, September 23, 2014 at 5:30pm*

**Pre-calculus/Trignometry**

Which of the following is a correct equation for the line passing through the point (-1,4) and having slope m = -3? A. y-4=-3(x+1) B. y=-3x+1 C. 3x+y=1 D. y=-1/4x-3
*Tuesday, September 23, 2014 at 4:23pm*

**Calculus I**

I have to determine if this function is either odd or even or neither. f(x)=x^3*abs(x^3) + x^3 I do not know how to approach this question as the absolute value is giving me trouble. Please help. Thanks.
*Tuesday, September 23, 2014 at 7:18am*

**College Pre-Calculus**

find a function m such that m(f) is the number of miles in f feet
*Tuesday, September 23, 2014 at 12:07am*

**Calculus**

At a certain point on the beach, a post sticks out of the sand, its top being 76 cm above the beach. The depth of the water at the post varies sinusoidally with time due to the motion of the tides. The depth d is modeled by the equation d=40+60cos(pi/6(t-2)) where t is the ...
*Monday, September 22, 2014 at 8:30pm*

**AP Calculus BC**

A giant soda glass is formed by rotating the graph of f(x)= .03x^2+1.125, 0<=x<5 f(x)= -.2(x-5)^2+1.875, 5<=x<6 f(x).1(x-6)^2+1.675, 6<=x<=7 about the x axis a) If the measurements are in inches, find the capacity of the glass in cubic inches B) If 16.3787 cm...
*Monday, September 22, 2014 at 7:21pm*

**calculus**

Q: Suppose that for all xE(0,5), f(x) is between 1+x and 3+sin((pi)(x)). Find lim x->2 f(x). Is this question related to the intermediate value theorem? It is confusing me, can anyone help out? I am not certain of what xE(0,5) is defining, is that a set of x values or am I ...
*Sunday, September 21, 2014 at 12:58am*

**pre calculus**

Use a calculator to find the approximate value of sin-1( 0.635).
*Saturday, September 20, 2014 at 1:45pm*

**Calculus**

To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. How high is the building if the splash is seen 6.7 seconds after the stone is dropped? Use the position function for free-falling objects given below. (...
*Friday, September 19, 2014 at 8:42pm*

**Pre-Calculus Questions**

Hi! Can someone help me with these? Thanks! 1.) Determine the slope and the y-intercept of the equation of the line passing through the points (-5, 3) and (1, -3). Write the equation of the line in slope intercept form. 2.) Determine the x- and y- intercepts and use them to ...
*Friday, September 19, 2014 at 2:54pm*

**Pre-Calculus**

Hi! I need help with these two. Here's the link for both pictures. 1.) Determine the intervals over which the function is increasing, decreasing, or constant. Write your answer in interval notation. Link for photo: file:///C:/Users/Cynthia/Downloads/Save.PNG 2.) ...
*Friday, September 19, 2014 at 7:26am*

**calculus**

Summarize all the pertinent information obtained by applying the final version of the graphing strategy Curve-sketching techniques to f,and sketch the graph of f. f(x)=(x-1)^3(x+3)
*Friday, September 19, 2014 at 1:12am*

**calculus**

f(x)=8x^3-2x^4 and sketch a graph of f.
*Friday, September 19, 2014 at 1:05am*

**calculus**

How to find the x and y coordination of all inflection points? f(x) = x^4- 12x^2?
*Friday, September 19, 2014 at 1:03am*

**Math (Pre-Calculus)**

Can someone help me with this? Thanks! Find the zeros of the function algebraically. f(x)=x^2-8x+15 ---------------- 10x
*Thursday, September 18, 2014 at 8:50pm*

**Pre-Calculus**

1.) Which equation represents a function? A. y=-2x+1 B. x=y^2-1 C. y^2=1/3x D. None Of These E. x=4 2.) The zeros of a function f are the x-values for which f(x) = 0. True or False?
*Thursday, September 18, 2014 at 8:48pm*

**math calculus 3**

find a formula for a function g( x,y,z) whose level surfaces are planes parallel to z=3x-2y+7
*Thursday, September 18, 2014 at 4:11pm*

**Calculus **

Calculate the average rate of change of the given function f over the intervals [a, a+h] where h=1, 0.1, 0.01, 0.001, and 0.0001. I have no clue how to do this. Any help would be appreciated. Thanks I know I use the formula f=f (a+h) - f (a)/h Then do I need to plug in the -2x...
*Tuesday, September 16, 2014 at 10:04pm*

**Pre-Calculus**

Hi! I'm having trouble with this math question; can someone help? Thanks! :) Given the function f(x)=x^2+9, solve. a.) Find f(-3) b.) Find f(x-2)
*Tuesday, September 16, 2014 at 8:01pm*

**Calculus I**

Suppose we have a metal bar of length L0 metres at temperature T0 in degrees Celsius.When the bar is heated or cooled, the length of the bar changes. The amount that the length changes is proportional to the product of the temperature change and the original length of the bar ...
*Tuesday, September 16, 2014 at 7:52pm*

**Calculus**

I do not understand what this question is asking and how to get the result for it: "Suppose we have a metal bar of length L0 metres at temperature T0 in degrees Celsius.When the bar is heated or cooled, the length of the bar changes. The amount that the length changes is ...
*Tuesday, September 16, 2014 at 12:05pm*

**Pre-Calculus/Trigonometry**

Help please Which of the following is the equation of a line that passes through the points (2,5) and (4,3)? y = -x + 7 y = x + 7 y = 2x + 5 y = -2x + 5
*Tuesday, September 16, 2014 at 10:43am*

**differential calculus**

a SECURITY CAMERA is centered 50 feet above a 100-foot hallway. it is easiest to design the camera with a constant angular rate of rotation, but this results in a variable rate at which the images of the surveillance area are recorded. so, it is desirable to design a system ...
*Tuesday, September 16, 2014 at 9:44am*

**differetial calculus-related rates**

LINEAR VS ANGULAR SPEED A wheel of a radius 30 centimeters revolves at a rate of 10 revolutions per second.A dot is painted at a point P on the rim of the wheel. a)find dx/dt as a function of ϴ. b)use a graphing utility to graph a function in part (a) c)when is the ...
*Tuesday, September 16, 2014 at 9:39am*

**differential calculus**

ANGLE OF ELEVATION A balloon rises at a rate of 4 meters per second from a point on the ground 50 meters from an observer.Find the rate of change of the angle of elevation of the balloon from the observer when the balloon is 50 meters above the ground. please show all ...
*Tuesday, September 16, 2014 at 7:59am*

**differential calculus**

ADIABATIC EXPANSION when a certain polyatomic gas undergoes adiabatic expansion,its pressure p and volume V satisfy the equation pV^1.3 =k,where k is constant.Find the relationship between the related rates dp/dt and dV/dt. this is a problem of related rates please show all ...
*Tuesday, September 16, 2014 at 7:54am*

**Calculus **

find an equation of the tangent line to the graph of the function f through the point (xsub0, ysub0) not on the graph. TO find the point of tangency (x,y) on the graph of f, solve the equation ....
*Tuesday, September 16, 2014 at 12:36am*

**Calculus-Math**

The ordering and transportation cost C for components used in a manufacturing process is approximated by the function below, where C is measured in thousands of dollars and x is the order size in hundreds. C(x) = 12((1/x)+((x)/(x+3))) (a) Verify that C(2) = C(15). C(2) = 54/5 ...
*Monday, September 15, 2014 at 9:49pm*

**pre-calculus**

At a selling price of $ 54 , a lamp company breaks even on total sales of $ 3564 . If the company's overhead is $ 396 , find the marginal production cost per lamp and find the profit on sales of 145 lamps.
*Monday, September 15, 2014 at 9:17pm*

**Pre-Calculus/Trigonometry**

Am I right? Which of the following is the equation of a line that passes through the point (3,2) and is parallel to the y-axis? y = 3 x = 2 y = 2 x = 3 <---
*Monday, September 15, 2014 at 5:05pm*

**Pre-Calculus/Trigonometry**

Help please What is the slope of the line that passes through (1,0) and is parallel to y = 3x + 5?
*Monday, September 15, 2014 at 4:57pm*

**calculus**

Can you help me solve this problem? I really don't know what to do. I solve problems like for example the rate of change of the elevation but I just encountered this kind of problem so I really don't know what to do. Please help me The endpoints of a movable rod of ...
*Monday, September 15, 2014 at 4:14am*

**Pre Calculus **

A motorboat travels 48 miles down a river in the same time it takes to travel 32 miles up the river. If the rate of the current is 4 miles per hour that is the rate of the boat still water?
*Monday, September 15, 2014 at 12:39am*

**AP Calculus**

Find an equation of all tangent lines for the curve x^2-xy+y^2=16 x=-2 2x-(xy'+y(1))+2yy'=0 2x-xy'+y+2yy'=0 y'(-x+2y)=-2x-y y'=-2x-y/-x+2y y'=-2(0)-y/-(0)+2y y'=-y/2y Not sure what to do now?
*Sunday, September 14, 2014 at 10:30pm*

**Pre-Calculus**

Find all the rational zeros of the polynomial, and then find the irrational zeros P(x)= 2x^4+15x^3+31x^2+20x+4
*Sunday, September 14, 2014 at 4:25pm*

**Pre-Calculus**

Find a polynomial with integer coefficients that satisfies the given conditions. P has degree 2 and zeros 2 + i and 2 − i.
*Sunday, September 14, 2014 at 2:35pm*

**Pre-Calculus**

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),and express the quotient P(x)/D(x) in the form P(x)D(x) = Q(x)+ R(x)D(x) . P(x) = 6x^4 − 3x^3 + 29x^2, D(x) = 3x^2 + 13
*Sunday, September 14, 2014 at 2:24pm*

**Pre-Calculus**

Find all the real zeros of the polynomial. Use the quadratic formula if necessary. 4x^3 − 10x^2 + 9
*Sunday, September 14, 2014 at 2:23pm*

**Pre-Calculus**

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),and express the quotient P(x)/D(x) in the form P(x)D(x) = Q(x)+ R(x)D(x) . P(x) = 6x4 − 3x3 + 29x2, D(x) = 3x2 + 13
*Sunday, September 14, 2014 at 2:19pm*

**Pre-Calculus**

Find all solutions of the equation and express them in the form a + bi. 36x^2 − 12x + 2 = 0
*Sunday, September 14, 2014 at 1:25pm*

**Pre-Calculus**

I'm kind of stuck on how to do this. Can someone help me? Thanks! Write the equation of the line with slope -2 that passes through the point (-1, -3) in slope-intercept form.
*Sunday, September 14, 2014 at 11:28am*

**math**

The farmer wants to use the 500 m to an enclosure divided into two equal areas, What is the total maximum area that can is achieved with the 500 m fence. using differential calculus to the solution.
*Sunday, September 14, 2014 at 10:03am*

**Pre-Calculus**

Hello! I wanted to know if my answers are right or not? Thanks! :) 1.) Segments AB and CD have the following endpoints. Determine whether the segments are parallel, perpendicular or neither. A (3, 0), B (-2, 2), C (-1, 4), D (-3, -1) My answer: Parallel 2.) Segments AB and CD ...
*Sunday, September 14, 2014 at 8:44am*

**Pre-Calculus**

Find all zeros of the polynomial P(x)=x^3-x-6
*Sunday, September 14, 2014 at 2:55am*

**Pre-Calculus**

Factor the polynomial completely, and find all its zeros. State the multiplicity of each zero P(x)= x^3-x^2+x
*Sunday, September 14, 2014 at 2:54am*

**Pre-Calculus**

Find all solutions of the equation and express them in the form a+bi 2x^2+3=2x
*Sunday, September 14, 2014 at 2:52am*

**Pre-Calculus**

Find all rational zeros of the polynomial, and write the polynomial in factored form? P(x)= 2x^3-3x^2-2x+3
*Sunday, September 14, 2014 at 1:20am*

**Pre-Calculus**

Find a polynomial of degree 4 that has a integer coefficients and zeros 1,-1,2 and 1/2 (one half)?
*Sunday, September 14, 2014 at 1:17am*

**Pre-Calculus**

Hello! I wanted to know if my answers are right or not? Thanks! :) 1.) Segments AB and CD have the following endpoints. Determine whether the segments are parallel, perpendicular or neither. A (3, 0), B (-2, 2), C (-1, 4), D (-3, -1) My answer: Parallel 2.) Segments AB and CD ...
*Saturday, September 13, 2014 at 6:28pm*

**Pre-Calculus**

Hi! I have three questions that I need checked over just to make sure I understand it. Thanks! :) 1.) What is the slope of the line that passes through (5, 8) and (-2, 6)? My answer: -2/7 2.) If Segment AB || Segment CD and the slope of Segment AB = 1/2, what is the slope of ...
*Saturday, September 13, 2014 at 11:55am*

**Pre-Calculus/Trigonmetry**

Write the equation of the line that is parallel to the x-axis and goes through the point (1,4).
*Friday, September 12, 2014 at 6:44pm*

**Pre-Calculus**

Hello! Can someone check and see if these answers are correct? Thanks! 1.) If a line with slope of 1/2 is perpendicular to another line, then the slope of the other line is -2. TRUE or FALSE? (I choose True) 2.) If Segment QR || Segment TU and the slope of Segment TU is -3, ...
*Friday, September 12, 2014 at 4:14pm*

**Pre-Calculus/Trigonometry**

Help please Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29. For any minutes over 250, Tracy is charged $0.35 per minute. Which of the following piecewise functions represents charges based on Tracy's cell phone plan? A. f(x)={...
*Friday, September 12, 2014 at 1:14pm*

**Calculus II**

find the distance between the given parallel planes 5x-5y+z=10 and 10x-10y+2z=2. I got 9sqrt51/51
*Thursday, September 11, 2014 at 2:37pm*

**Math: pre calculus**

a barn is 150 feet long and 75 feet wide. the owner has 240 ft of fencing and wants to construct two adjacent outdoor pens of identical size along the long side of the barn using the barn as one side of each pen. the owner wants the pens as large as possible. what are the ...
*Thursday, September 11, 2014 at 1:53am*

**pre calculus **

Determine the quadratic function in vertex form (A) vertex at (-3,-10) passing through the point (2,-5) Dow do I figure it out?
*Wednesday, September 10, 2014 at 9:58pm*

**maths-calculus**

find the limit as x approaches infinity, -(x+1) (e^(1/(x+1))-1)
*Wednesday, September 10, 2014 at 6:10am*

**Pre-Calculus**

Hi! I need help with this math homework question: If you had a triangle that has the vertices (-2, 1), (0, -5), and (1. 2) and you had to shift that triangle 5 units left and 4 units down, how would you find the vertices of the shifted triangle?
*Tuesday, September 9, 2014 at 2:20pm*

**Pre-Calculus/Trigonometry**

Help Me, Please Here is a table of values for y = f(x). x: 0, 5, 10, 15, 20, 25, 30, 35, 40 f(x): 5, 6, 7,8, 9, 10, 11, 12, 13 Mark the statements that are true. A. f(5) = 6 B. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13}. C. The range for f(x) is all real ...
*Tuesday, September 9, 2014 at 1:24pm*

**Pre-Calculus/Trigonometry**

Help please If, f(x)= 3/x+2 -√x-3, complete the following statement. Round your answer to the nearest hundredths place. F(7)= ?
*Tuesday, September 9, 2014 at 11:45am*

**calculus**

Highway engineers often use quadratic functions to model safe stopping distances for cars like 1/2x quantity squared + 11/5x is used to model the safe stopping distance for car traveling at x miles per hour on dry, level pavement. If a driver can see only 200 feet ahead on a ...
*Tuesday, September 9, 2014 at 6:51am*

**Calculus**

Determine the exact values of the six trigonometric functions of the angle.(-5,-2)
*Monday, September 8, 2014 at 11:02pm*

**Calculus**

"Three hundred books sell for $40 each, resulting in a revenue of $12,000. For each $5 increase in price, 25 fewer books are sold. Write revenue R as a function of the number x of $5 increases." How would you get this problem started?
*Monday, September 8, 2014 at 7:44pm*

**Pre-Calculus/Trigonometry**

Help me please, just explain. How would I find f(1)? f(1)= x; -3, -2, -1, 0, 1, 2 f(x); 3.4, 0, -1.2, 0.4, 1.3, 1.7
*Monday, September 8, 2014 at 6:12pm*

**Calculus**

Suppose the area under the curve y=xe^(-mx) from 0 to 1 is 0.4. Find m.
*Monday, September 8, 2014 at 2:04pm*

**calculus **

Verify Clairaut's theorem for u=ln(x^(2)-y^(2)).
*Monday, September 8, 2014 at 10:31am*

**Calculus**

How do I solve for the investment of 20,000 with an interest rate of 7.5 compounded annually for 10 years? This is what I have so far and I don't know if I'm using the right formula. n=10 and I=r=0.075 A=P(1+i)n =20,000(1+0.075)10 This is where I'm stuck
*Monday, September 8, 2014 at 8:20am*

**Calculus**

Use implicit differentiation to find an equation of the tangent line to the graph at the given point. x + y − 1 = ln(x^5 + y^5), (1, 0)
*Sunday, September 7, 2014 at 10:37pm*

**Calculus-Math**

f(x) = (1/2)x ln(x^6) (−1, 0) (a) Find an equation of the tangent line to the graph of f at the given point. y=
*Sunday, September 7, 2014 at 10:10pm*

**Calculus**

Suppose the total area under the curve y=x^2-mx+1 from 0 to 5 is 11.3024. Find m. I know that this means that i need to find the integral of the absolute value of x^2-mx+1 from 0 to 5 and set it equal to 11.3024, but I am not sure where to go from there.
*Sunday, September 7, 2014 at 8:32pm*

**Calculus**

A rectangle has one corner in quadrant I on the graph of y = 9 − x^2,another corner at the origin, and corners on both the positive y-axis and the positive x-axis. As the corner on y = 9 − x2 changes, a variety of rectangles are obtained. Express the area A of the ...
*Sunday, September 7, 2014 at 5:25pm*

**Calculus**

Using the definition of derivative state the function, f(x) and the value of a for lim as h->0 of (square root of (121+h) -11)/h
*Sunday, September 7, 2014 at 2:41pm*

**Calculus**

Two points P and Q are connected by a straight road of length d. At time t = 0, a car starts driving from P to Q at a constant speed c. At t = 0, a bee starts flying from Q toward the car at a constant speed b > c, and takes a zig-zagging path, reversing direction each time...
*Saturday, September 6, 2014 at 1:50pm*

**INTEGRAL CALCULUS PLEASE HELP!!!**

If F(x)dx=1 from 1 to 25, F(x)dx=4 from 1 to 4, and F(x)dx=9 from 17 to 25, then: 1) What does F(x)dx from 9 to 17=? 2) What does (1F(x)-4)dx from 9 to 17x=? I have no idea how to do this problem and have been on it for hours! The problem is not typed incorrectly, this is ...
*Friday, September 5, 2014 at 6:10pm*

**Honors Pre Calculus**

Verify the trigonometric identity:￼ ￼(1+sin x)/ (1-sinx)^2=￼(1+sin x)/[cos x] Hint: [cos x] means the absolute value of cos x
*Wednesday, September 3, 2014 at 8:39pm*

**pre calculus algebra **

one number is three less than six times second number. their sum is 32. find the two numbers
*Wednesday, September 3, 2014 at 8:34pm*

**Honors Pre Calculus**

Verify the trigonometric identity:￼ ￼(1+sin x)/ (1-sinx)=￼(1+sin x)/[cos x] Hint: [cos x] means the absolute value of cos x
*Wednesday, September 3, 2014 at 8:25pm*

**Honors Pre Calculus**

Tony visits the local fair and sees one of the rides, the ferris wheel. The ferris wheel has a diameter of 50 feet and is on a platform of 4 feet. If it takes 12 seconds to make one full revolution, what is the equation of the height of a person on the ferris wheel at any time t?
*Wednesday, September 3, 2014 at 7:11pm*

**calculus**

A man in a rowboat at p, see fig 2c, 5km from the nearest point A on the straight shore. He wished to reach a point B, 6km from A along the shore, in a shortest time. Where should he land if he can row 2km/h and walks 4km/h? P 5 km A C B
*Wednesday, September 3, 2014 at 8:32am*

**calculus**

a. A closed cylindrical can is to hold 1000cm^3 of liquid. How should we choose the height and radius of this can to minimize the amount of material need to manufacture the can? b.a manufacturer wants to design a open box having a square base and surface of 108cm^2. What ...
*Wednesday, September 3, 2014 at 7:33am*

**calculus**

a laser printer is placed on a platform that rotates at a rate of 20rev/min. the beam hits a wall 8m away producing a dot of light that moves horizontally along the wall. let tetabe the angle between the bean and producing the line through the search light perpendicular to the...
*Wednesday, September 3, 2014 at 2:30am*

**calculus **

kulangman is in level flight 6km abave the ground. his level flight take him directly over the PETRONAS tower,pt. how fast is he flying when the distance between him and the PT is exactly 10km and this distance is increasing at the rate of 40km/h.
*Wednesday, September 3, 2014 at 2:19am*

**calculus**

a revolving light is located at 5 km from a straight shoreline with a constant angular velocity. what velocity does the light revolve if the light moves along the shoreline at the rate of 15km/min when the beam of light makes a angle of 60 with the shoreline?
*Wednesday, September 3, 2014 at 2:08am*

**Calculus**

At noon of a certain day,ship A is 60 km due north of ship B. If A sails east at 12 km/hr and B sails north 9 km/hr,determine how rapidly the distance between them is changing 2 hrs later. Is it increasing or decreasing?
*Tuesday, September 2, 2014 at 9:42pm*

**Calculus**

A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (8,4). Write the length L of the hypotenuse as a function of x. Completely stuck came up with the sqrt(x^2+Y^2)=L, not sure what to do? can anyone guide me in the right direction?
*Tuesday, September 2, 2014 at 8:35pm*

**calculus/physics**

A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x10 from x=−1 to x=1. The trough is full of water. Find the amount of work required to empty the trough by pumping the water over the top. ...
*Tuesday, September 2, 2014 at 4:42pm*

**Math, Calculus**

The questions says it has 2 solutions. It wants me to find what x would be if cos(x)=-.49 and it is given that x is on the scale between 0 and 2pi. I know that cosine is the x value, and since cosime is negative in this case the two solutions need to be in the 2nd and 3rd ...
*Tuesday, September 2, 2014 at 1:29am*

**calculus**

We know this is a piecewise function and we solved the first part, but we cannot figure out the other equation. A passenger ship leaves port sailing east at 16 mph. Two hours later, a cargo ship leaves the same port heading north at 12 mph. (a) Find a function giving the ...
*Monday, September 1, 2014 at 7:33pm*

**Calculus**

1.At noon of a certain day,ship A is ^0 km due north of ship B. If A sails east at 12 km/hr and B sails north 9 km/hr,determine how rapidly the distance between them is changing 2 hrs later. Is it increasing or decreasing? 2.At a given instant the legs of a right triangle are ...
*Sunday, August 31, 2014 at 8:45am*

**Calculus**

Two automobiles start from a point A at the same time. One travels west at 60km/hr and the other travels north 35 km/hr. how fast is the distance between them increasing 3hr later?
*Sunday, August 31, 2014 at 6:03am*

**Calculus-Math**

The endpoints of a movable rod of length 1 m have coordinates (x, 0) and (0, y) (see figure). The position of the end on the x-axis is given in the equation below, where t is the time in seconds. x(t) = 1/8 sin(πt/4) (c) Find the speed of the y-axis endpoint when the x-...
*Saturday, August 30, 2014 at 10:50pm*

**Calculus 2**

use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. xy=1, x=0, y=1, y=3
*Saturday, August 30, 2014 at 7:27pm*

**Calculus AB **

Consider the function (4)/(1-2^(1/x)) 1. Estimate the right-hand limit, lim x->0+ f(x). Back up your answer by making an analytic argument about f(x) for values of x that are close to 0 but larger than 0. 2. Estimate the left-hand limit, lim x->0- f(x). Back up your ...
*Friday, August 29, 2014 at 11:37pm*

**Calculus 2**

use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis. y=x^(1/3), y=0, x=1
*Friday, August 29, 2014 at 9:48pm*

**Calculus **

1.if a ball is thrown into the air with a velocity of 35ft/s, it's height in feet after t seconds is given by y=35t-10t^2. Find the averag velocity for the time period beginning when t=4 and lasting 0.05s. 2.if a ball is thrown into the air with a velocity of 30ft/s, it&#...
*Thursday, August 28, 2014 at 9:41pm*

**Calculus **

List at least five scenarios in real life where knowing the average or instantaneous rate of change could prove beneficial?
*Thursday, August 28, 2014 at 9:36pm*

**calculus**

2. Worldwide annual sales of all cell phones is approximately -10p + 1600 million phones when the wholesale price is $p. a) If manufacturers are prepared to supply q = 14p – 800 million phones per year at a wholesale price $p, what would be the equilibrium price? -10p +...
*Thursday, August 28, 2014 at 9:25pm*

**calculus**

1. The demand for your hand-made skateboards in weekly sales is q = -3p + 700 if the selling price is $p. You are prepared to supply q = 2p – 500 per week at price $p. At what price should you sell your skateboards so that there is neither shortage nor a surplus? -3p +700...
*Thursday, August 28, 2014 at 9:22pm*

**calculus**

A wall 10 feet high is 8 feet away from a house. Find the length of the shortest ladder that will reach the house when one end rests on the ground outside the wall. So in here. I did the similar triangle property. so i got y=10(x+8)/x . And i substituted it in the PYTHAGOREAN ...
*Thursday, August 28, 2014 at 5:10am*

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